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ROGERS LTE 6:05 PM chemicool.com 0 * 68% Standard Deviation The standard deviati

ID: 580806 • Letter: R

Question

ROGERS LTE 6:05 PM chemicool.com 0 * 68% Standard Deviation The standard deviation, s, is a statistical measure of the precision for a series of repeated measurements. The advantage of using s to quote uncertainty in a result is that it has the same units as the experimental data. Under a normal distribution, (± one standard deviation) encompasses 68% of the measurements and (± two standard deviations) encompasses 96% of the measurements. Standard deviation is calculated from: (x,-x)2 i-1 Where N is the number of measurements, xi is each individual measurement, and X is the mean of all measurements.

Explanation / Answer

There are many cases where the data tends to be around a central value with no bias left or right, and it gets close to a "Normal Distribution"The "Bell Curve" is a Normal Distribution.

The Standard Deviation is a measure of how spread out numbers are for a given sample space. It is denoted by the Greek letter sigma.

When we calculate the standard deviation we find that: